Geometry Questions

An angle measures 12 degrees less than three times it s supplement x Find both angles algebraically Check the measure of the smaller angle below Angle smaller larger total Measure Correct X X X

8 m Perimeter Area 3 m 7 m 5 m I xm m Question Help Message instructor

Figure A shows their paths and the locations where they each catch a Pokemon Note The small squares in the grid have side lengths of one yard and areas of 1 square yard Figure A Dolores start Marianne The red vertical line represents the path Dolores walked How far did Dolores walk before she caught a Pokemon yards The blue horizontal line represents the path Marianne walked How far did Marianne walk before she caught a Pokemon yards What is the distance between the spot where Marianne caught a Pokemon and the spot where Dolores caught a Pokemon yards

m21 2x 3 m25 4x 7 H These angles are which are always X m41 m45 angles Diagram not to scale N P M4 2 1 3 4 A 5 T R

12 m 2 m Perimeter Area 10 m 4m m E Question Help Worked Example 11 Video 1

A rectangular swimming pool has a length of 32 feet a width of 11 feet and a depth of 6 feet Round answers to the nearest hundredth as needed a How many cubic feet of water can the pool hold cubic feet b The manufacturer suggests filling the pool to 95 capacity How many cubic feet of water is this cubic feet

Find the perimeter and area of the figure pictured below 8 m Perimeter H Area 3 m fr 5 m m m Question Help Message instructor

12 2cm EA 80m A b Find the values of X and y 12cm 13 5 a What scale factor is applied to triangle A to create triangle B Explain your reasoni B 6 F B X

5 In the two triangles pictured below m A m D and m B m E Using a sequence of translations rotations reflections and or dilations show that AABC is sim to A DEF

You may use a calculator and your reference chart 1 Select all the true statements for triangles ABC and XYZ B A ZA ZX B ZX ZC AB C XY A BC D AC 12 Similarity End of Unit Assessment BC XZ YZ XZ 20 16 C X 3 Y 5 4 Z

8 cm D 2 cm E A X 12 cm b What is the length of XF Explain your reasoning C F B a ABCD is a parallelogram and EF is parallel to AB What triangles are similar to triangle AEX Show your thinking

Polygon ABCD is congruent to Polygon WXYZ Find x and then m BCD and m XYZ D x A 9x 11 B m2 BCD m XYZ C Z Y 11x13 Note Always make sure the value of a produces positive angles W

Polygon ABCD is congruent to Polygon WXYZ Find x and then AB and WX A x D 4x 10 AB WX B C Y Z X 6x 4 Note Always make sure the value of a produces positive lengths W

2 Let F R R be given by f x y x ay x y 3ry a Why is f differentiable b Find dF z c Find and interpret dF 2 1 d Find and interpret dF 2 1 3 1

Find the value of x in the figure P R 7x 5 x 47 Q S

x 8x 12 0 a Write the equation in vertex form by completing the square b What is the vertex axis of symmetry and what direction does it open Explain what each of these parts of the graph are c Use your vertex form to solve the equation What do the solutions represent d Use the quadratic formula to solve the given equation How do your answers compare e Evaluate the two methods used to solve which do you

Find the measure of the missing angle in the following figure if the two lines cut by a transversal are parallel 60

Find and then AB and BC 4x 7 A X B AB BC H 7x 8 Note Always make sure the value of a produces positive lengths C

Find the measure of ZBAC A B 86 H C

Find the missing angles x Y 74 U1 C O O

Then describe the tra language and specific number in the textbox T Vi 8 Graph x y 2x 2y A 2 3 B 4 2 C 2 5 X T 5 fi 8 5 0 A

Given AB find x 112 a A 3x 31 B 2x 11

Given quadrilateral ABCD where the diagonals AC and BD intersect at point E AE EC and BE DE Can you prove can you prove that the figure is a parallelogram Explain A Yes opposite sides are congruent B Yes diagonals of a parallelogram bisect each other C No you cannot determine that the quadrilateral is a parallelogram D Yes two opposite sides are both parallel and congruent

Find the value of x Y 5 5 T P A 5 5 B 1 1 C 6 6 D 8 8 x 12 1 W M

d the indicated maximum or minimum value of the objective function in the linear programming pr Maximize f 70x 20y subject to the following x 2y 48 x y 30 2x y 50 x 0 y 20

Find 0 if tan 0 3 6 0 0 360 Round to two decimal places and use a semicolon to separate answers if there is more than one answer

The given two triangles are similar If the sum of the measures of two angles in a triangle is 85 what is the corresponding sum of the measures of the angles in the other triangle C 85 O 95 O 275 A B

In India many families use mini solar cookers on their balconies In most instances the sun s rays reflect off the parabolic mirror toward the dish which is placed 32 cm from the center of the cooker The distance from the vertex to the edge of the cooker is 68 cm Use the diagram to help answer the discussion questions them Ergo of Cook 12m 320 Certs of C01 Edge of Co What are the coordinates of the edges of the cooker What is the distance all the way across the cooker from the two points labelled edge of cooker

Find the lateral and surface area Write either in terms of x3C0 or rounded to the hundredths 9 in Lateral Area Surface Area 22 in

Step 1 How many ways can you choose 3 Jolly Ranchers in a jar containing 15 Jolly Ranchers This is n S Step 2 n S 15C3

1 2 3 18 4 12 15 For problems 4 5 find the indicated segment length Assume that lines or segments which appear to be tangent are tangent 12 16 D

bu roll a 6 sided number cube Use the complement to determine the probability of not rolling a 4

A coin is flipped 8 times and the result is recorded What is the probability of getting exactly 3 heads Find n S and n A Then find the probability by using P A Round to the nearest hundredth n A n S

right triangle 6 7 8 A 16 x 3 M 16 B 8 12 x 3 20 16 6 6 9 Find the length of segment NM K A N 13 12 B B 10 Find the length of segment HG

There are 52 cards in a standard deck If you shuffle the deck how many combinations of 5 cards are there

In a standard deck of cards there are 26 different red cards How many possible combinations of 5 red cards are there from those 26 cards Note Below are the 26 different red cards in a standard deck

5 10 pts Analyze the equation that is find the center foci and vertices of the ellipse 4x 2 y 2 8x 4y 4 0 Graph the equation

S x 5 S x 8 M F 10 4 9 Find the length of segment CE E K N 3 2x 17 4 9 W 2 10 Find the length of segment KM L D C

Vanessa Samantha Hannah and Jordyn are all part of a 12 member volleyball team Four members of the team are randomly selected to fill the water jug for the day What is the probability that all four of them will be chosen

A coin is flipped 10 times and the result is recorded What is the probability of getting exactly 4 tails

Use the following formula for problem 8 9 P A n S Total Sample Space of outcomes n A Total Outcomes wanted n A n S There are 52 cards in a standard deck 20 of those cards are Jacks Queens Kings Aces or Tens In the game blackjack these are very valuable cards

A bag contains 8 marbles of different colors How many ways unique ways or orders can you select 3 marbles

How many different permutations can be formed using all the letters in the word COLORADO

A student government class has 20 students Four students will be chosen at random to represent the school at a city council meeting Is this a permutation or combination Explain How many different ways can 4 students be chosen from a group of 20

3 10 pts Find the vertex focus and the directrix of the parabola y 4y 4x 4 0 Graph the equation

Find the quadratic function that is the best fit for f x defined by the table below 2 4 6 8 10 402 1605 3604 6409 10 002 X f x 0 0 O The quadratic function is y Tyne an equation using x as the variable Round to two decimal places as needed

The height in centimeters of a candle is a linear function of the amount of time in hours it has been burning When graphed the function gives a line wit slope of 0 3 See the figure below Suppose that the height of the candle after 20 hours is 23 centimeters What was the height of the candle after 13 hours Candle height in cm 23 20 Burning time in hours centimeters X S

Set B and Set C are grouped according to the Venn Diagram below Set B is 9 12 14 17 18 and Set C is 6 9 11 12 18 19 The sample space is 1 6 9 11 12 14 17 18 19 20 Find P C point 1 17 B 12 20 O 18 C 19 6

A 5 6 7 8 9 10 and B 2 3 4 5 11 12 13 What is A U B 1 point

A 5 6 7 8 9 10 and B 2 3 4 5 11 12 13